Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can pl…

In this paper, a new approach based on convex analysis is introduced to solve the $H_\infty$ problem for discrete-time nonlinear stochastic systems. …

This paper is concerned with inverse scattering of plane waves by a locally perturbed infinite plane (which is called a locally rough surface) with t…

A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated sin…

We introduce {\em vector diffusion maps} (VDM), a new mathematical framework for organizing and analyzing massive high dimensional data sets, images …

In this paper we illustrate the simplifications produced by FDR in NNLO computations. We show with an explicit example that - due to its four-dimensi…

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic volatility and unknown stock appreciat…

The rules to write out any one of the linearly independent functions belonging to the infinite set of those in polynomial form that satisfy the sourc…

Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariant…

In this paper, we study the stabilization problem for the Ito systems with both multiplicative noise and multiple delays which exist widely in applic…

In this paper we explore how concepts of high-dimensional data compression via random projections onto lower-dimensional spaces can be applied for tr…

This section is devoted to proving Theorems 3.2 and 3.3. Firstly, we show a technical result.

This paper is the first part of our series work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this par…

The translation of a bubble under the action of an acoustic forcing finds applications in fields ranging from drug delivery to sonoluminesce. This ph…

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